You are given a list of $n$ integers, and your task is to calculate the number of distinct values in the list.

Input

The first input line has an integer $n$: the number of values.

The second line has $n$ integers $x_1,x_2,\dots,x_n$.

Output

Print one integers: the number of distinct values.

Constraints

• $1 \le n \le 2 \cdot 10^5$
• $1 \le x_i \le 10^9$

Example

Input:

5
2 3 2 2 3

Output:

2